Math, asked by nia677, 10 months ago

the parallel side of trapezium are 25 cm and 11 cm while it nonparallel side are 15 cm and 13 cm. find the area of trapezium​

Answers

Answered by Suraj182904
1
196cm square is the answer of your question

nia677: no
nia677: the correct answer is 180
Suraj182904: ok
nia677: sorry not 180 it 216
Suraj182904: don't worry i will solve it again
nia677: ok
priyanshu4098: ⓦⓡⓞⓝⓖ ⓐⓝⓢⓦⓔⓡ
priyanshu4098: wrong answer
priyanshu4098: nia cheak my answer
Answered by priyanshu4098
12
Draw CE such that AECD is a parallelogram
AE = CD = 11 cm
AD = CE = 15 cm

EB = 14 cm
Area of ΔECB = s(s-a)(s-b)(s-c)

where s = (a+b+c)/2
a = 13 cm, b = 14 cm, c = 15 cm
Here s = (13+14+15)/2 = 21 cm
Area of ΔECB = 21(21-13)(21-14)(21-15)
     
= 84 sq cm
 But Area of ΔECB = 1/2 × base (EB) × height (h)

1/2 × 14 × h = 84

h = 12 cm

Area of trapezium ABCD = 1/2 × h × (AB + CD)
 
                                         = 1/2 × 12 × (25 + 11) 
         
                                         =  6 × 36
  
               your answer               = 216 sq cm

 

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